1177083954225 has 81 divisors (see below), whose sum is σ = 2126782815339. Its totient is φ = 622318716000.

The previous prime is 1177083954187. The next prime is 1177083954283. The reversal of 1177083954225 is 5224593807711.

The square root of 1177083954225 is 1084935.

It is a perfect power (a square), and thus also a powerful number.

1177083954225 is a `hidden beast` number, since 1 + 1 + 7 + 70 + 8 + 3 + 9 + 542 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 423750223521 + 753333730704 = 650961^2 + 867948^2 .

It is not a de Polignac number, because 1177083954225 - 2⁹ = 1177083953713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2457377536 + ... + 2457378014.

Almost surely, 2^{1177083954225} is an apocalyptic number.

1177083954225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1177083954225 is the 1084935-th square number.

1177083954225 is the 542468-th centered octagonal number.

It is an amenable number.

1177083954225 is a deficient number, since it is larger than the sum of its proper divisors (949698861114).

1177083954225 is an frugal number, since it uses more digits than its factorization.

1177083954225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1177083954225 in words is "one trillion, one hundred seventy-seven billion, eighty-three million, nine hundred fifty-four thousand, two hundred twenty-five".